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Finding the Third Proportional to 5,697,951 and 11,606,907

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Solution

The third proportional to 5,697,951 and 11,606,907 is: 23,643,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697,951 : 11,606,907 = 11,606,907 : x
  2. Step 2: Convert to fraction form
    5,697,951/11,606,907 = 11,606,907/x
  3. Step 3: Cross multiply
    5,697,951x = 11,606,907 × 11,606,907
  4. Step 4: Simplify right side
    5,697,951x = 134,720,290,106,649
  5. Step 5: Solve for x
    x = 134,720,290,106,649/5,697,951
  6. Step 6: Final answer
    x = 23,643,637.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.